On blow-up set of solutions of initial boundary value problem for a system of parabolic equations with nonlocal boundary conditions

We consider a system of semilinear parabolic equations ut = Δг + с1(x,t)vp, vt = Δv + c2(x,t)uq, (x,t) ∈ Ω × (0,+∞) with nonlinear nonlocal boundary conditions ∂u/∂η = ∫k1(x,y,t)um(y,t)dy, ∂v/∂η = ∫Ωk2(x,y,t)vn(y,t)dy, (x,t) ∈ ∂Ω × (0,+∞) and initial data u(x,0) = u0(x), v(x,0) = v0(x), x ∈ Ω, where...

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Principais autores:	Alexander L. Gladkov, Alexandr I. Nikitin
Formato:	Artigo
Idioma:	Bielo-russo
Publicado em:	Belarusian State University 2019-01-01
coleção:	Журнал Белорусского государственного университета: Математика, информатика
Assuntos:	system of semilinear parabolic equations nonlocal boundary conditions blow-up set
Acesso em linha:	https://journals.bsu.by/index.php/mathematics/article/view/780
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